Hi, Bugcheck 50 can mean faulty RAM, system software, Antivirus and corrupted HDD. It does blame the Intel gpu driver and looking through your drivers I see that they are in need of updating. Please apply the driver updates found here:http://www.sony-asia.com/support/product/vpccb15fg Please make sure I have the correct support page for your system.

If after making the above changes you still get the bsod then you need to test your RAM. Windows does have it's own memory testing app but it can often miss errors and the best app for the job is Memtest86. The latest version of which can be found here:http://www.memtest.org/

To run Memtest86 you need to either burn a copy of it to disk or use a USB stick. If you look down the page you'll eventually find the latest version and it's associated downloads. If your burning to disk choose the pre-compiled iso zip. If your using a USB method then the corresponding download is the auto installer for a USB stick. Once you have Memtest86 on the media you selected you'll then need to enter your bios and change the boot order so that the machine will boot from either the disk or stick you have Memtest86 on. Run the test for at least 12hrs if possible unless it becomes clear that there is a issue. If there is a problem with the RAM you'll see the errors pop up in red so you can't miss them.